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Finding the Third Proportional to 147,986 and 227,703

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Solution

The third proportional to 147,986 and 227,703 is: 350,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,986 : 227,703 = 227,703 : x
  2. Step 2: Convert to fraction form
    147,986/227,703 = 227,703/x
  3. Step 3: Cross multiply
    147,986x = 227,703 × 227,703
  4. Step 4: Simplify right side
    147,986x = 51,848,656,209
  5. Step 5: Solve for x
    x = 51,848,656,209/147,986
  6. Step 6: Final answer
    x = 350,361.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.